Evaluation and Benchmarking of Cu Pillar Micro-bumps with Printed Polymer Core

Qiu, Xing; Lo, Jeffery C. C.; Lee, S. W. Ricky; Liou, Ying-Hong; Chiu, Peter

doi:10.23919/icep.2019.8733457

Cited by 6 publications

(3 citation statements)

References 14 publications

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“…Arrays of pillars [ 1 ] belong to a class of electro-mechanical multicomponent systems. This class involves devices that are important and frequently encountered in such areas of nanotechnology as bio-mechanical sensing [ 2 , 3 ], nanoscale electronics, thermoelectrics or photovoltaics, to name but a few [ 4 , 5 ]. Especially prominent applications of nanopillars refer to flexible sensors capable of detecting and measuring multidirectional forces [ 6 ] or high-performance piezoelectric nanogenerators that convert external mechanical energy into electricity [ 7 , 8 , 9 , 10 ].…”

Section: Introductionmentioning

confidence: 99%

Optimal Stopping Rules for Preventing Overloading of Multicomponent Systems

2023

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When random-strength components work as an interconnected parallel system, then its carrying capacity is random as well. In a case where such a multicomponent system is a subject of the stepwise-growing workload, some of its components fail and their loads are taken over by the ones that are intact. When the loading process is continued, the additional loads trigger consecutive failures that degrade the system, eventually leading to a complete failure. If the goal of the system is to carry as much load as possible, then the loading process should be continued, but no longer than until the loading capacity of the whole system is reached. On the other hand, with every additional load step, a failure of the system becomes more probable, as the carrying capacity is random and known solely through its probability distribution. In such cases, the decision on when to cease the loading process is not obvious. We introduce and analyse a minimal model of failure spreading in an array of progressively loaded pillars controlled by a decision-maker who stops the process when a required load is attained. We show how to construct an optimal stopping rule. Under some additional assumptions regarding the adopted loss function, it is argued that the optimal stopping rule is of the threshold type and it significantly depends on the shape of the load-step probability distribution.

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Section: Introductionmentioning

confidence: 99%

Optimal Stopping Rules for Preventing Overloading of Multicomponent Systems

2023

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“…Significant progress has been made in the creation and development of sub-micron-scale devices, including nanopillars assembled in an ordered fashion on flat substrates [ 1 , 2 ]. Nowadays, mezo-scale pillar arrays are applied in areas of nanotechnology such as bio-mechanical sensing [ 3 ], nanoscale electronics, photovoltaics or thermoelectrics, to name a few [ 4 , 5 , 6 ]. An interesting class of nanodevices includes high-performance piezoelectric nanogenerators (NG) that convert external mechanical energy into electricity [ 7 ].…”

Section: Introductionmentioning

confidence: 99%

Survivability of Suddenly Loaded Arrays of Micropillars

Derda

Domański

2021

Materials

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When a multicomponent system is suddenly loaded, its capability of bearing the load depends not only on the strength of components but also on how a load released by a failed component is distributed among the remaining intact ones. Specifically, we consider an array of pillars which are located on a flat substrate and subjected to an impulsive and compressive load. Immediately after the loading, the pillars whose strengths are below the load magnitude crash. Then, loads released by these crashed pillars are transferred to and assimilated by the intact ones according to a load-sharing rule which reflects the mechanical properties of the pillars and the substrate. A sequence of bursts involving crashes and load transfers either destroys all the pillars or drives the array to a stable configuration when a smaller number of pillars sustain the applied load. By employing a fibre bundle model framework, we numerically study how the array integrity depends on sudden loading amplitudes, randomly distributed pillar strength thresholds and varying ranges of load transfer. Based on the simulation, we estimate the survivability of arrays of pillars defined as the probability of sustaining the applied load despite numerous damaged pillars. It is found that the resulting survival functions are accurately fitted by the family of complementary cumulative skew-normal distributions.

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“…However, the coefficient of thermal expansion (CTE) and dielectric properties of these intrinsic materials are mostly not satisfactory. The large relative permittivity and dielectric loss factor may cause signal delay and signal loss during the signal transmission in high-frequency printed circuit boards, − and the large CTE may cause large internal stress and induce failure in the electronic packaging . To realize low permittivity (low k ), fluoro group, and other aliphatic group such as adamantane were introduced. − Fang et al reported a novel fluoro-containing dendrimeric siloxane precusor with aryl-trifluorovinyl-ether (−OCFCF 2 ) as the cross-linkable group, which converted into a highly cross-linked thermoset showing low- k value as 2.40 and low water absorption .…”

Section: Introductionmentioning

confidence: 99%

Multibenzocyclobutene Functionalized Silane for Low-k Polyarylsilane Thermosets with Low Coefficient of Thermal Expansion and High Thermostability

Cheng

Cai

et al. 2019

ACS Appl. Polym. Mater.

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Highly cross-linked thermosets have been extensively studied for their good thermostability and low coefficient of thermal expansion (CTE). Herein, multibenzocyclobutene (multi-BCB) functionalized silane monomers and the related thermosets as polyarylsilane are reported. These silane monomers can be cured at a high temperature above 200 °C. After curing, the corresponding transparent thermosets showed good thermal property. The results indicated that more benzocyclobutene (BCB) groups on the corresponding silane monomer induced a higher cross-linked structure, which contributes to improve heat resistance, glass transition temperature (T g), and dimensional stability. Particularly, the cured tetra(benzocyclobutene-4-yl) silane (SiB4) showed extremely high T g over 400 °C, high initial storage modulus, and good thermostability (T d5 = 532 °C). The cured SiB4 also showed excellent thermomechanical properties with a low CTE at 24 ppm/°C. These polymers also showed good dielectric properties with a low k below 2.70. The low-k material with a low CTE may be a good candidate for high-performance composite resin matrix and high-density substrates.

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Evaluation and Benchmarking of Cu Pillar Micro-bumps with Printed Polymer Core

Cited by 6 publications

References 14 publications

Optimal Stopping Rules for Preventing Overloading of Multicomponent Systems

Optimal Stopping Rules for Preventing Overloading of Multicomponent Systems

Survivability of Suddenly Loaded Arrays of Micropillars

Multibenzocyclobutene Functionalized Silane for Low-k Polyarylsilane Thermosets with Low Coefficient of Thermal Expansion and High Thermostability

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